86 research outputs found
Five-Dimensional Gauge Theories and Local Mirror Symmetry
We study the dynamics of 5-dimensional gauge theory on by
compactifying type II/M theory on degenerate Calabi-Yau manifolds. We use the
local mirror symmetry and shall show that the prepotential of the 5-dimensional
SU(2) gauge theory without matter is given exactly by that of the type II
string theory compactified on the local , i.e. Hirzebruch surface
lying inside a non-compact Calabi-Yau manifold. It is shown that
our result reproduces the Seiberg-Witten theory at the 4-dimensional limit
( denotes the radius of ) and also the result of the
uncompactified 5-dimensional theory at . We also discuss SU(2)
gauge theory with matter in vector representations and show
that they are described by the geometry of the local blown up at
points.Comment: 18 pages, Latex, minor changes, a version to appear in Nucl.Phys.
Toda Lattice Hierarchy and the Topological Description of the c=1 String Theory
The Toda lattice hierarchy is discussed in connection with the topological
description of the string theory compactified at the self-dual radius. It
is shown that when special constraints are imposed on the Toda hierarchy, it
reproduces known results of the string theory, in particular the
relations among tachyon correlation functions. These constraints
are the analogues of string equations in the topological minimal theories. We
also point out that at the Landau-Ginzburg superpotential becomes simply
a current operator.Comment: 11 pages, Latex file, UT-67
Geometric transitions, Chern-Simons gauge theory and Veneziano type amplitudes
We consider the geometric transition and compute the all-genus topological
string amplitudes expressed in terms of Hopf link invariants and topological
vertices of Chern-Simons gauge theory. We introduce an operator technique of
2-dimensional CFT which greatly simplifies the computations. We in particular
show that in the case of local Calabi-Yau manifolds described by toric geometry
basic amplitudes are written as vacuum expectation values of a product vertex
operators and thus appear quite similar to the Veneziano amplitudes of the old
dual resonance models. Topological string amplitudes can be easily evaluated
using vertex operator algebra.Comment: 16 pages, 2 figures, (v2,3) minor changes, to appear in Phys. Lett.
Topological Strings, Flat Coordinates and Gravitational Descendants
We discuss physical spectra and correlation functions of topological minimal
models coupled to topological gravity. We first study the BRST formalism of
these theories and show that their BRST operator can be brought to
by a certain homotopy operator , ( and are
the and diffeomorphism BRST operators, respectively). The
reparametrization (anti)-ghost mixes with the supercharge operator
under this transformation. Existence of this transformation enables us to use
matter fields to represent cohomology classes of the operator . We
explicitly construct gravitational descendants and show that they generate the
higher-order KdV flows. We also evaluate genus-zero correlation functions and
rederive basic recursion relations of two-dimensional topological gravity.Comment: 11 pages, phyzzx, UT-63
Individual Education Support System Using ICT for Developmental Disabilities
Children with developmental disabilities require special support to help them in different aspects of daily life, and individual educational support is a crucial part of such support. We developed a collaborative system for supporting children with developmental disabilities using ICT to be used by teachers, parents, and supporters. This chapter introduces this system, which provides close and immediate support through instantaneously sharing daily behavior information about the child between teacher-parent-supporters. In addition, storing the data in a highly secure cloud system facilitates passing information to children’s next educational level. Moreover, AI can match support needs and support services according to the characteristics of individual children by using ICF codes for suggesting immediate, dynamic support
ARCHITECTURE OF THE EVENT-SPACE : A study on the notion of 'Single Surface' through and around the collective architectural criticisms of Jeffrey Kipnis Vol. 2
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